On Oka’s extra-zero problem and examples

Autor:	Junjiro Noguchi, Makoto Abe, Sachiko Hamano
Rok vydání:	2012
Předmět:	Discrete mathematics Pure mathematics General Mathematics Dimension (graph theory) Cousin Zero (complex analysis) Disjoint sets Special case Mathematics
Zdroj:	Mathematische Zeitschrift. 275:79-89
ISSN:	1432-1823 0025-5874
DOI:	10.1007/s00209-012-1123-8
Popis:	After the solution of Cousin II problem by Oka III in 1939, he thought an extra-zero problem in 1945 (his posthumous paper) asking if it is possible to solve an arbitrarily given Cousin II problem adding some extra-zeros whose support is disjoint from the given one. By the secondly named author, some special case was affirmatively confirmed in dimension two and a counter-example in dimension three or more was given. The purpose of the present paper is to give a complete solution of this problem with examples and some new questions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5d879f65ea7b18b812d36b1df8d545b3 https://doi.org/10.1007/s00209-012-1123-8 Zobrazit plný text záznamu Full text from SpringerLink